87185050344 has 384 divisors, whose sum is σ = 282710588160. Its totient is φ = 23756488704.

The previous prime is 87185050343. The next prime is 87185050387. The reversal of 87185050344 is 44305058178.

87185050344 is a `hidden beast` number, since 87 + 18 + 50 + 503 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87185050344.

It is not an unprimeable number, because it can be changed into a prime (87185050343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283990239 + ... + 283990545.

It is an arithmetic number, because the mean of its divisors is an integer number (736225490).

Almost surely, 2^87185050344 is an apocalyptic number.

87185050344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87185050344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141355294080).

87185050344 is an abundant number, since it is smaller than the sum of its proper divisors (195525537816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87185050344 is a wasteful number, since it uses less digits than its factorization.

87185050344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 87185050344 in words is "eighty-seven billion, one hundred eighty-five million, fifty thousand, three hundred forty-four".